1. Integration Techniques

54min

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1.1.4. Practice (w/ exp & trig)6 min

1.2.1. Partial Fractions Decomposition7 min

1.2.2. Practice (linear factors only)4 min

1.2.3. Practice (w/ quadratic factors)7 min

1.2.4. Practice (w/ long division)6 min

1.3.1. The Midpoint Rule1 min

1.3.2. Example2 min

1.3.3. The Trapezoid Rule 1 min

1.3.4. Example2 min

1.3.5. Practice

1.3.6. Simpson's Rule1 min

1.3.7. Example2 min

1.3.8. Practice

1.3.9. Error Bounds for Approximations2 min

1.3.10. Practice

1.3.11. Numerical Integration (Summary)

1.Q. Integration Techniques Quiz18 Qns

2. L'Hospital's Rule and Improper Integrals

40min

2.I. A Note About This Chapter

2.1.1. L'Hospital's Rule5 min

2.1.2. Practice2 min

2.1.3. Practice4 min

2.1.4. Practice4 min

2.2.1. Improper Integrals4 min

2.2.2. Practice (type 1)2 min

2.2.3. Practice (type 1)5 min

2.2.4. Practice (Type 2)5 min

2.3.1. Comparison Theorem for Improper Integrals3 min

2.3.2. Practice (type 1 - converges)3 min

2.3.3. Practice (type 2 - converges)4 min

2.3.4. Practice (type 2 - diverges)

2.Q. Improper Integral Quiz4 Qns

3. Applications of Integrals

1.3hr

3.1.1. Average value of a function3 min

3.1.2. Example2 min

3.1.3. Practice2 min

3.1.4. Displacement, Velocity, and Acceleration4 min

3.1.5. Rates of Change and Integrals3 min

3.2.1. Area between Curves3 min

3.2.2. Practice4 min

3.2.3. Practice3 min

3.2.4. Practice (multiple regions)4 min

3.3.1. Volumes - Cross Sections Method3 min

3.3.2. Practice4 min

3.3.3. Practice3 min

3.4.1. Volumes of Revolution (Disk/Washer)3 min

3.4.2. Practice (around the x-axis)2 min

3.4.3. Practice (around the y-axis)3 min

3.4.4. Practice (around a line)3 min

3.5.1. Volumes of Revolution (Cylindrical Shells)4 min

3.5.2. Practice2 min

3.6.1. Arc Length of a Curve3 min

3.6.2. Practice6 min

3.6.3. Practice4 min

3.7.1. Surface Area of Revolution1 min

3.Q. Applications of Integration Quiz7 Qns

4. Probability

53min

4.1.1. Discrete Random Variables8 min

4.1.2. Practice

4.1.3. Probability Distribution Function4 min

4.1.4. Expected Value, Variance, and Standard Deviation of Discrete Random Variables6 min

4.2.1. Normal Distribution11 min

4.2.2. Practice5 min

5. Differential Equations

1.4hr

5.I. A Note About This Chapter

5.1.1. Differential Equations8 min

5.1.2. Direction Fields/Slope Fields5 min

5.1.3. Practice Question: DE Solution Graphs3 min

5.1.4. Euler's Method (Approximating Solutions)4 min

5.1.5. Practice

5.2.1. Separable First Order Differential Equations3 min

5.2.2. Practice (separable DE)2 min

5.2.3. Practice (IVP)3 min

5.2.4. Practice (IVP)3 min

5.2.5. Practice (IVP*)5 min

5.2.6. Practice (separable DE)1 min

5.3.1. Linear First Order Differential Equations7 min

5.3.2. Practice (integrating factor)1 min

5.3.3. Practice (linear DE)3 min

5.3.4. Practice (IVP)3 min

5.3.5. Practice (IVP)4 min

5.4.1. Systems of Linear Differential Equations3 min

5.4.2. Solving a System of Linear DEs2 min

5.4.3. Example4 min

5.4.4. Practice

5.4.5. Practice

5.5.1. Second-Order Reducible DE

5.5.2. Practice: Dependent Variable Missing

5.5.3. Practice: Independent Variable Missing

5.6.1. Common DE Applications (Word Problems)

5.6.2. Practice (population)3 min

5.6.3. Practice (population)4 min

5.6.4. Practice (cooling & heating)3 min

5.6.5. Practice (mixing tank)6 min

5.6.6. Practice (mixing tank)8 min

5.Q. DE Quiz4 Qns

6. Multivariable Functions & Partial Derivatives

1.2hr

MATH 136

Course Overview

1. Integration Techniques

2. L'Hospital's Rule and Improper Integrals

3. Applications of Integrals

4. Probability

5. Differential Equations

6. Multivariable Functions & Partial Derivatives

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